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Finding the Fourth Proportional to 74,468.64, 102,790.68 and 47,683.32

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Solution

The fourth proportional to 74,468.64, 102,790.68 and 47,683.32 is: 65,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468.64 : 102,790.68 = 47,683.32 : x
  2. Step 2: Convert to fraction form
    74,468.64/102,790.68 = 47,683.32/x
  3. Step 3: Cross multiply
    74,468.64x = 102,790.68 × 47,683.32
  4. Step 4: Simplify right side
    74,468.64x = 4,901,400,887.46
  5. Step 5: Solve for x
    x = 4,901,400,887.46/74,468.64
  6. Step 6: Final answer
    x = 65,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.